Magnetic refrigeration based on the magnetocaloric effect (MCE) of materials is a potential technique that has prominet advantages over the currently used gas compression-expansion technique in the sense of its high efficiency and environment friendship. In this article, our recent progress in explorating effective MCE materials is reviewed with the emphasis on the MCE in the LaFe 13-x Si x -based alloys with a first order magnetic transition discovered by us. These alloys show large entropy changes in a wide temperature range near room temperature. Effects of magnetic rare-earth doping, interstitial atom, and high pressure on the MCE have been systematically studied. Special issues such as appropriate approaches to determining the MCE associated with the first-order magnetic transition, the depression of magnetic and thermal hystereses, and the key factors determining the magnetic exchange in alloys of this kind are discussed. The applicability of the giant MCE materials to the magnetic refrigeration near ambient temperature is evaluated. A brief review of other materials with significant MCE is also presented in the article.